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1103004235040 = 2554326161121
BaseRepresentation
bin10000000011010000001…
…011001111010100100000
310220110001021001201110012
4100003100023033110200
5121032423041010130
62202414012424052
7142455321206201
oct20032013172440
93813037051405
101103004235040
11395866154274
12159929a78028
1380022313346
143b5584935a8
151da595ce995
hex100d02cf520

1103004235040 has 144 divisors (see below), whose sum is σ = 2711637678456. Its totient is φ = 423869644800.

The previous prime is 1103004235001. The next prime is 1103004235097. The reversal of 1103004235040 is 405324003011.

It can be written as a sum of positive squares in 4 ways, for example, as 228472528144 + 874531706896 = 477988^2 + 935164^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1103004234997 and 1103004235015.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18015680 + ... + 18076800.

Almost surely, 21103004235040 is an apocalyptic number.

1103004235040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1103004235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355818839228).

1103004235040 is an abundant number, since it is smaller than the sum of its proper divisors (1608633443416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1103004235040 is an equidigital number, since it uses as much as digits as its factorization.

1103004235040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61283 (or 61232 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 1103004235040 its reverse (405324003011), we get a palindrome (1508328238051).

The spelling of 1103004235040 in words is "one trillion, one hundred three billion, four million, two hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 61 80 86 122 160 172 215 244 305 344 430 488 610 688 860 976 1220 1376 1720 1849 1952 2440 2623 3440 3698 4880 5246 6880 7396 9245 9760 10492 13115 14792 18490 20984 26230 29584 36980 41968 52460 59168 61121 73960 83936 104920 112789 122242 147920 209840 225578 244484 295840 305605 419680 451156 488968 563945 611210 902312 977936 1127890 1222420 1804624 1955872 2255780 2444840 2628203 3609248 3728381 4511560 4889680 5256406 7456762 9023120 9779360 10512812 13141015 14913524 18046240 18641905 21025624 26282030 29827048 37283810 42051248 52564060 59654096 74567620 84102496 105128120 113012729 119308192 149135240 160320383 210256240 226025458 298270480 320640766 420512480 452050916 565063645 596540960 641281532 801601915 904101832 1130127290 1282563064 1603203830 1808203664 2260254580 2565126128 3206407660 3616407328 4520509160 5130252256 6412815320 6893776469 9041018320 12825630640 13787552938 18082036640 25651261280 27575105876 34468882345 55150211752 68937764690 110300423504 137875529380 220600847008 275751058760 551502117520 1103004235040